Remark 2.16 
The matrix \(\exp (B)\)  in (REF ) is called a B-transformation,
and it can be thought of as a shear transformation in the sense that it fixes projections to \(V\) 
while shearing in the direction of \(V^{*}\) ; see [1]}.
This interpretation and terminology will be particularly well-suited to our purposes in later sections.
Analogous considerations apply to the \(\beta \) -transformation given by the matrix \(\exp (\beta )\) .

